Pith Number

pith:K4JV4WRA

pith:2019:K4JV4WRAEUVC6MRXEVO4XTEU2Z

not attested not anchored not stored refs pending

Crystallographic splitting theorem for band representations and fragile topological photonic crystals

A. Alexandradinata, Chong Wang, Hengbin Cheng, J. H\"oller, Ling Lu

arxiv:1908.08541 v2 · 2019-08-22 · cond-mat.str-el · physics.optics

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4JV4WRAEUVC6MRXEVO4XTEU2Z}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T01:34:04.694050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57135e5a20252a2f3237255dcbcc94d66ddb0d454f286f5359dc989386162547

Aliases

arxiv: 1908.08541 · arxiv_version: 1908.08541v2 · doi: 10.48550/arxiv.1908.08541 · pith_short_12: K4JV4WRAEUVC · pith_short_16: K4JV4WRAEUVC6MRX · pith_short_8: K4JV4WRA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/K4JV4WRAEUVC6MRXEVO4XTEU2Z \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 57135e5a20252a2f3237255dcbcc94d66ddb0d454f286f5359dc989386162547

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a33dde7cd7d7acd9ff531caabb9af4cdc1dc5f62ce31776472a29296ab7dda31",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2019-08-22T18:00:00Z",
    "title_canon_sha256": "45d0a4272e872c0ba07d0b0569cfc31d8e094b1a5c729de8f5a1a1335a1c1841"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08541",
    "kind": "arxiv",
    "version": 2
  }
}